At a middle school, 21% of all students play football, and 13% of all students play basketball. 25% of all students play football or basketball. What is the probability that a student plays both sports?

Guest Apr 18, 2022

#1**+1 **

Let's suppose that there are 100 students at the school

Then

21 play football

13 play basketball

25 play either

N ( play either) = N(play football) + N (play basketball) - N (who play both )

25 = 21 + 13 - N (who play both)

25 - 21 -13 = - N (who play both)

-9 = - N (who play both )

9 = N ( who play both )

CPhill Apr 18, 2022